Least Common Multiple of 1086 and 1089
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1086 and 1089 the smallest integer that is 394218 that is divisible by both numbers.
Least Common Multiple (LCM) of 1086 and 1089 is 394218.
LCM(1086,1089) = 394218
LCM of 1086 and 1089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1086 and 1089 by Prime method
- Least Common Multiple of 1086 and 1089 with GCF Formula
LCM of 1086 and 1089 is 394218
Least common multiple can be found by multiplying the highest exponent prime factors of 1086 and 1089. First we will calculate the prime factors of 1086 and 1089.
Prime Factorization of 1086
| 2 | 1086 |
| 3 | 543 |
| 181 | 181 |
| 1 |
Prime factors of 1086 are 2, 3,181. Prime factorization of 1086 in exponential form is:
1086 = 21×31×1811
Prime Factorization of 1089
| 3 | 1089 |
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 1089 are 3,11. Prime factorization of 1089 in exponential form is:
1089 = 32×112
Now multiplying the highest exponent prime factors to calculate the LCM of 1086 and 1089.
LCM(1086,1089) = 21×32×112×1811
LCM(1086,1089) = 394218
Factors of 1086
List of positive integer factors of 1086 that divides 1086 without a remainder.
1, 2, 3, 6, 181, 362, 543, 1086
Factors of 1089
List of positive integer factors of 1089 that divides 1089 without a remainder.
1, 3, 9, 11, 33, 99, 121, 363, 1089
Least Common Multiple of 1086 and 1089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1086 and 1089, than apply into the LCM equation.
GCF(1086,1089) = 3
LCM(1086,1089) = ( 1086 × 1089) / 3
LCM(1086,1089) = 1182654 / 3
LCM(1086,1089) = 394218
Properties of LCM 1086 and 1089
(i) The LCM of 1089 and 1086 is associative
LCM of 1086 and 1089 = LCM of 1089 and 1086
Related Least Common Multiples of 1086
Related Least Common Multiples of 1089
Frequently Asked Questions on LCM of 1086 and 1089
1. What is the LCM of 1086 and 1089?
Answer: LCM of 1086 and 1089 is 394218.
2. What are the Factors of 1086?
Answer: Factors of 1086 are 1, 2, 3, 6, 181, 362, 543, 1086. There are 8 integers that are factors of 1086. The greatest factor of 1086 is 1086.
3. What are the Factors of 1089?
Answer: Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. There are 9 integers that are factors of 1089. The greatest factor of 1089 is 1089.
4. How to Find the LCM of 1086 and 1089?
Answer:
Least Common Multiple of 1086 and 1089 = 394218
Step 1: Find the prime factorization of 1086
1086 = 2 x 3 x 181
Step 2: Find the prime factorization of 1089
1089 = 3 x 3 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 394218 = 2 x 3 x 3 x 11 x 11 x 181
Step 4: Therefore, the least common multiple of 1086 and 1089 is 394218.